NCERT Solutions For Class 12 Maths All Chapters - 2025-26
Chapter-wise Class 12 Maths Questions and Answers Free PDF Download
If you are looking for the most accurate Class 12 Maths NCERT Solutions PDF, then Vedantu is the perfect website to download it in PDF format free of cost. NCERT Solutions for Class 12 Maths offer a strong foundational understanding for all topics in the CBSE Class 12 Maths Syllabus. It covers essential theorems and formulas with thorough explanations to enhance student’s understanding. These solutions are invaluable for preparation for undergraduate Engineering entrance exams like JEE Mains, BITSAT, VITEEE, etc., scheduled for the years 2025-26.
NCERT solutions class 12 Maths PDF is crafted by Vedantu’s Maths expert teachers to facilitate clear understanding of concepts. These 12th CBSE Maths solutions provide detailed, step by step explanations for problems found in the textbooks. Additionally, alongside solutions for each chapter of CBSE Class 12 Maths, Vedantu offers Class 12 Maths notes, solved exemplar problems, important questions, formulas and more as effective study materials for students preparing for their Class 12 board exams.
NCERT Solutions for Class 12 Maths | Chapter-wise List
Given below are the chapter-wise NCERT 12 Maths solutions PDF. Using these chapter-wise class 12th maths ncert solutions, you can get clear understanding of the concepts from all chapters.
Glance on NCERT Solutions Class 12 Maths
Class 12th Maths NCERT solutions for all the chapters and exercises from Chapters 1 to 13 are provided.
Using these CBSE class 12 maths solutions to practice textbook questions can assist students in assessing their preparation level and understanding of concepts.
The link also provides details about the exam pattern, marks weightage, and question paper design for CBSE Class 12 Maths.
The chapters cover topics like Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, and more.
Additionally, it offers resources such as class notes, important questions and formulas, exemplar solutions, RD Sharma and RS Aggarwal solutions for further study.
Get an idea about: Is NCERT for class 12 (maths) sufficient for board exams?
1. What is the best way to use the NCERT Solutions for Class 12 Maths for board exam preparation?
To use these solutions effectively, first attempt to solve the problems from the NCERT textbook on your own. Then, refer to the solutions to check your method, not just the final answer. Pay close attention to the step-by-step logic to understand the correct approach as per the CBSE 2025-26 guidelines. Use them to identify and correct your mistakes, strengthening your conceptual understanding for the board exams.
2. How many chapters are covered in the NCERT Solutions for Class 12 Maths?
The NCERT Solutions for Class 12 Maths cover all 13 chapters prescribed in the latest CBSE syllabus for the 2025-26 session. The chapters are:
- Relations and Functions
- Inverse Trigonometric Functions
- Matrices
- Determinants
- Continuity and Differentiability
- Application of Derivatives
- Integrals
- Application of Integrals
- Differential Equations
- Vector Algebra
- Three Dimensional Geometry
- Linear Programming
- Probability
3. Are the NCERT Solutions for Class 12 Maths sufficient for scoring high marks in the CBSE board exams?
Yes, the NCERT textbook and its corresponding solutions are the most crucial resources for the CBSE Class 12 Maths board exam. They comprehensively cover every topic and concept required by the syllabus. Mastering the problems in the textbook using these solutions builds a strong foundation. For scoring over 95%, it is recommended to supplement your preparation with NCERT Exemplar problems and sample papers after completing the textbook thoroughly.
4. What is the passing mark for the CBSE Class 12 Maths exam for the 2025-26 session?
To pass the CBSE Class 12 Maths exam, a student must secure a minimum of 33% marks in total. This includes performance in both the theory paper (out of 80 marks) and the internal assessment (out of 20 marks). It is essential to secure passing marks in both components as per CBSE guidelines.
5. Which chapters in Class 12 Maths are generally considered more challenging, and how do the solutions help?
Many students find chapters like Integrals, Three Dimensional Geometry, and Probability to be more challenging due to the complexity of concepts and the variety of problems. The NCERT Solutions help by breaking down complex problems into manageable, logical steps. They provide clear explanations for each step, helping you understand the application of theorems and formulas correctly, thus building confidence in these difficult areas.
6. Why is it important to follow the step-by-step method in the NCERT Solutions instead of just checking the final answer?
Following the step-by-step method is crucial because the CBSE board awards marks for each logical step in a solution, not just for the correct final answer. This approach helps you understand the problem-solving process, learn how to present your answers systematically in the exam, and minimize errors. It ensures you grasp the underlying concept rather than just memorizing a formula, which is vital for tackling unfamiliar questions.
7. How do the NCERT Solutions for Class 12 Maths build a foundation for competitive exams like JEE Main?
The NCERT Solutions are fundamental for JEE Main preparation as they build conceptual clarity. JEE Main questions are often application-based extensions of NCERT concepts. By mastering the methods and logic from these solutions, you develop a strong base in core topics like Calculus, Vector Algebra, and Trigonometry. This allows you to then tackle the higher-level, multi-concept problems found in competitive exams more effectively.
8. What is the key difference between solving problems from the NCERT textbook and the NCERT Exemplar?
The primary difference lies in the complexity and intent of the questions:
- NCERT Textbook questions and their solutions focus on explaining fundamental concepts and solving problems that directly align with the core syllabus, ensuring a strong base for board exams.
- NCERT Exemplar questions involve higher-order thinking skills (HOTS), tricky problems, and multi-concept challenges. They are designed to deepen understanding and are excellent for aiming for a top score in boards and preparing for competitive exams.
9. Beyond solving exercises, how can these solutions be used to understand mathematical theorems?
The solutions demonstrate the practical application of theorems within problems. When a solution uses a specific theorem, like Rolle's Theorem or Bayes' Theorem, you should revisit the textbook to re-read the theorem's proof and statement. By seeing how the theorem is applied to a concrete problem in the solution, you can better understand its conditions and implications, moving from abstract theory to practical application.
10. How do the Class 12 Maths NCERT Solutions align with the latest CBSE paper pattern?
These solutions are aligned with the CBSE 2025-26 pattern by emphasizing methodology and systematic presentation. The latest paper pattern includes various question types, from MCQs to long-answer questions, where step-wise marks are crucial. The solutions train you to write detailed, logical answers, which is exactly what is required to score well in sections with multi-mark questions, ensuring your preparation matches the board's evaluation criteria.